Make a concept map (a tree diagram or a Venn diagram) to organize these quadrilaterals: rhombus, rectangle, square, trapezoid.
Draw and label the following:
Rhombus EQUL with diagonals EU
and QL intersecting at A.
What type (or types) of quadrilateral has only rotational symmetry?
Consider the parallelogram shown alongside. Complete the statement given below, giving reasons.
ΔOAD is congruent to?
Draw a pair of parallel lines by tracing along both edges of your ruler. Draw a transversal. Use your compass to bisect each angle of a pair of alternate interior angles. What shape is formed? Can you explain why?
Parallelogram ABCD is shown in the figure. Find the values of a, b, x, and y.
The figure shown is a parallelogram. Obtain the values of a, b, and c.
The figure shown consists of two parallelograms, WXYZ and ABCD. Find the measure of angle WAD.
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Sketch and label a diagram. List what is given and what is to be proved. Then write a two–column proof of the above statement.
Consider rectangle JKLM shown in the figure.
If JL = 6y – 21 and MN
= 2y + 9, find y.
If the quadrilateral shown is a parallelogram, what must be the values of a and b?
Find the perimeter of quad. LNOK if L, M, and N are the midpoints of the sides of ΔTKO in the given figure.
The angles of a quadrilateral measure 2x, x + 30, x + 50, and 2x – 20. The quadrilateral could be:
(a) square (b) parallelogram (c) trapezoid
I. (a) or (b)
II. (b) or (c)
III. (a) alone
IV. (b) alone
V. (c) alone
Quadrilateral PQRS has vertices P(–2, 2), Q(5, 9), R(8, 6), and S(1, –1). Is PQRS a rectangle? Determine using slopes.
Consider rectangle JKLM shown in the figure. If m5 = 15, find m3.
Using straightedge and compass, construct an isosceles trapezoid PQRS with legs of length y units.
In kite ABCD, AB = 13, BC = 6, and BD = 10. Find AE,EC, and AC.
Consider rhombus JKLM shown in the figure. Find mJLK, given that mJKL is 145.
The vertices of quadrilateral ABCD are
A = (–2, –4), B = (2, –7), C = (6, –4), and D = (2, –1). Determine whether ABCD
is a square, a rhombus, a rectangle, or a parallelogram. List all names that apply.
is a rhombus. Find RS and the coordinates of the midpoint of .
In the figure, and are the bases of trapezoid ABCD. Find the coordinates of median for ABCD. Show that ||.
In the figure shown, and are the bases of trapezoid PQRS and . Prove that PQRT is a parallelogram.
A,B, C, and D are the midpoints of the sides of isosceles trapezoid PQRS. What type of quadrilateral is ABCD?
Verify whether the polygons satisfy the given property. If yes, then put check marks in the appropriate spaces in the table.
Draw a rectangle. Join the midpoints of the sides in order.
Identify the special kind of quadrilateral you appear to get.